The study of the graph of exponential functions from the theory of Raymond Duval
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Research, Society and Development |
Texto Completo: | https://rsdjournal.org/index.php/rsd/article/view/34091 |
Resumo: | Based on the Theory of Registers of Semiotic Representation by Raymond Duval, this research aims to present a study of the sketch of curves of exponential functions starting from the approach of the global interpretation of figural properties. This approach allows a broader look at the function curves compared to the point-to-point approach, since it only considers some specific points of the curve, thus, they end up limiting the interpretation in its entirety. The global interpretation of figural properties establishes correspondences between algebraic and graphic representations, favoring the conversion in the double sense. This is a research with a qualitative approach and bibliographic nature. In view of the above, we conclude that considering the figural properties of the curve makes it possible to visualize it as a whole, allowing the conversion between algebraic and graphical representations to occur in both directions. Note also the use of translation and symmetry as resources allowed the sketch of more complex curves. |
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The study of the graph of exponential functions from the theory of Raymond DuvalEl estudio de la gráfica de funciones exponenciales desde la teoría de Raymond DuvalO estudo de gráfico de funções exponenciais a partir da teoria de Raymond DuvalRaymond DuvalTheory of Semiotic Representation RecordsSketch of CurvesExponential Function.Raymond DuvalTeoria dos Registros de Representação SemióticaEsboço de CurvasFunção Exponencial.Raymond DuvalTeoría de los registros de representación semióticaCroquis de CurvasFuncion exponencialFuncion Exponencial.Based on the Theory of Registers of Semiotic Representation by Raymond Duval, this research aims to present a study of the sketch of curves of exponential functions starting from the approach of the global interpretation of figural properties. This approach allows a broader look at the function curves compared to the point-to-point approach, since it only considers some specific points of the curve, thus, they end up limiting the interpretation in its entirety. The global interpretation of figural properties establishes correspondences between algebraic and graphic representations, favoring the conversion in the double sense. This is a research with a qualitative approach and bibliographic nature. In view of the above, we conclude that considering the figural properties of the curve makes it possible to visualize it as a whole, allowing the conversion between algebraic and graphical representations to occur in both directions. Note also the use of translation and symmetry as resources allowed the sketch of more complex curves.Con base en la Teoría de los Registros de Representación Semiótica de Raymond Duval, esta investigación tiene como objetivo presentar un estudio del esquema de curvas de funciones exponenciales a partir del enfoque de la interpretación global de las propiedades figurativas. Este enfoque permite una mirada más amplia de las curvas de funciones en comparación con el enfoque punto a punto, ya que solo considera algunos puntos específicos de la curva, por lo que terminan limitando la interpretación en su totalidad. La interpretación global de las propiedades figurativas establece correspondencias entre las representaciones algebraicas y gráficas, favoreciendo la conversión en el doble sentido. Se trata de una investigación con enfoque cualitativo y carácter bibliográfico. En vista de lo anterior, concluimos que considerar las propiedades figurativas de la curva permite visualizarla como un todo, permitiendo que la conversión entre representaciones algebraicas y gráficas ocurra en ambas direcciones. Nótese también el uso de la traslación y la simetría como recursos que permitieron el esbozo de curvas más complejas.Baseado na Teoria dos Registros de Representação Semiótica de Raymond Duval, esta pesquisa objetiva apresentar um estudo do esboço de curvas de funções exponenciais partindo da abordagem da interpretação global de propriedades figurais. Essa abordagem permite um olhar mais amplo para as curvas de funções se comparado com a abordagem ponto a ponto, uma vez que essa só considera alguns pontos específicos da curva, logo, acabam limitando a interpretação em sua totalidade. A interpretação global de propriedade figurais estabelece correspondências entre as representações algébrica e gráfica, favorecendo a conversão no duplo sentido. Trata-se de uma pesquisa com abordagem qualitativa e natureza bibliográfica. Diante do exposto, concluímos que considerar as propriedades figurais da curva possibilita a visualização dessa como um todo, permitindo que a conversão entre as representações algébricas e gráfica ocorram no duplo sentido. Nota-se também o uso da translação e simetria como recursos permitiu o esboço de curvas mais complexas.Research, Society and Development2022-09-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/3409110.33448/rsd-v11i11.34091Research, Society and Development; Vol. 11 No. 11; e574111134091Research, Society and Development; Vol. 11 Núm. 11; e574111134091Research, Society and Development; v. 11 n. 11; e5741111340912525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/34091/28738Copyright (c) 2022 Renata Gaspar da Costa; Jéssica Lorrany Parente Ferreira; Samylla Sousa de Castro Azevêdo; Maria José Bastos Barbosa; Wellington Rogério de Oliveirahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessCosta, Renata Gaspar da Ferreira, Jéssica Lorrany Parente Azevêdo, Samylla Sousa de CastroBarbosa, Maria José Bastos Oliveira, Wellington Rogério de 2022-09-05T13:24:46Zoai:ojs.pkp.sfu.ca:article/34091Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:49:31.930886Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false |
dc.title.none.fl_str_mv |
The study of the graph of exponential functions from the theory of Raymond Duval El estudio de la gráfica de funciones exponenciales desde la teoría de Raymond Duval O estudo de gráfico de funções exponenciais a partir da teoria de Raymond Duval |
title |
The study of the graph of exponential functions from the theory of Raymond Duval |
spellingShingle |
The study of the graph of exponential functions from the theory of Raymond Duval Costa, Renata Gaspar da Raymond Duval Theory of Semiotic Representation Records Sketch of Curves Exponential Function. Raymond Duval Teoria dos Registros de Representação Semiótica Esboço de Curvas Função Exponencial. Raymond Duval Teoría de los registros de representación semiótica Croquis de Curvas Funcion exponencial Funcion Exponencial. |
title_short |
The study of the graph of exponential functions from the theory of Raymond Duval |
title_full |
The study of the graph of exponential functions from the theory of Raymond Duval |
title_fullStr |
The study of the graph of exponential functions from the theory of Raymond Duval |
title_full_unstemmed |
The study of the graph of exponential functions from the theory of Raymond Duval |
title_sort |
The study of the graph of exponential functions from the theory of Raymond Duval |
author |
Costa, Renata Gaspar da |
author_facet |
Costa, Renata Gaspar da Ferreira, Jéssica Lorrany Parente Azevêdo, Samylla Sousa de Castro Barbosa, Maria José Bastos Oliveira, Wellington Rogério de |
author_role |
author |
author2 |
Ferreira, Jéssica Lorrany Parente Azevêdo, Samylla Sousa de Castro Barbosa, Maria José Bastos Oliveira, Wellington Rogério de |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Costa, Renata Gaspar da Ferreira, Jéssica Lorrany Parente Azevêdo, Samylla Sousa de Castro Barbosa, Maria José Bastos Oliveira, Wellington Rogério de |
dc.subject.por.fl_str_mv |
Raymond Duval Theory of Semiotic Representation Records Sketch of Curves Exponential Function. Raymond Duval Teoria dos Registros de Representação Semiótica Esboço de Curvas Função Exponencial. Raymond Duval Teoría de los registros de representación semiótica Croquis de Curvas Funcion exponencial Funcion Exponencial. |
topic |
Raymond Duval Theory of Semiotic Representation Records Sketch of Curves Exponential Function. Raymond Duval Teoria dos Registros de Representação Semiótica Esboço de Curvas Função Exponencial. Raymond Duval Teoría de los registros de representación semiótica Croquis de Curvas Funcion exponencial Funcion Exponencial. |
description |
Based on the Theory of Registers of Semiotic Representation by Raymond Duval, this research aims to present a study of the sketch of curves of exponential functions starting from the approach of the global interpretation of figural properties. This approach allows a broader look at the function curves compared to the point-to-point approach, since it only considers some specific points of the curve, thus, they end up limiting the interpretation in its entirety. The global interpretation of figural properties establishes correspondences between algebraic and graphic representations, favoring the conversion in the double sense. This is a research with a qualitative approach and bibliographic nature. In view of the above, we conclude that considering the figural properties of the curve makes it possible to visualize it as a whole, allowing the conversion between algebraic and graphical representations to occur in both directions. Note also the use of translation and symmetry as resources allowed the sketch of more complex curves. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-09-03 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://rsdjournal.org/index.php/rsd/article/view/34091 10.33448/rsd-v11i11.34091 |
url |
https://rsdjournal.org/index.php/rsd/article/view/34091 |
identifier_str_mv |
10.33448/rsd-v11i11.34091 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://rsdjournal.org/index.php/rsd/article/view/34091/28738 |
dc.rights.driver.fl_str_mv |
https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Research, Society and Development |
publisher.none.fl_str_mv |
Research, Society and Development |
dc.source.none.fl_str_mv |
Research, Society and Development; Vol. 11 No. 11; e574111134091 Research, Society and Development; Vol. 11 Núm. 11; e574111134091 Research, Society and Development; v. 11 n. 11; e574111134091 2525-3409 reponame:Research, Society and Development instname:Universidade Federal de Itajubá (UNIFEI) instacron:UNIFEI |
instname_str |
Universidade Federal de Itajubá (UNIFEI) |
instacron_str |
UNIFEI |
institution |
UNIFEI |
reponame_str |
Research, Society and Development |
collection |
Research, Society and Development |
repository.name.fl_str_mv |
Research, Society and Development - Universidade Federal de Itajubá (UNIFEI) |
repository.mail.fl_str_mv |
rsd.articles@gmail.com |
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1797052771307880448 |